First, isolate the variable:
x>-33
The answers would be 25, 14, -25.
I am not sure if that is a more than sign or a more than or equals sign; if it is a more than sign the answers mentioned above are the only answers, but if it a more than or equals sign, the answers are 25, 14, -25, -33.
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Ratio of perimeters of smaller solid to larger solid = ratio of the sides of the corresponding sides of smaller solid and larger solid .
Let the perimeter of smaller solid =x and perimeter of larger solid =y. Therefore


Therefore the answer is 13/17 .
Answer:
Step-by-step explanation:
Answer:
Non-proportional.
Step-by-step explanation:
Membership fee of Rub-a-Dub Carwash = $100
Cost of every car wash in his visit = $12
Total payment Devon has to make in x car washes = $(12x + 100)
Graph of the relation between "total payment" and "number of visits", doesn't pass through origin. (having y-intercept = 100)
While for proportional relationship graph should pass through origin.
Therefore, this relationship is non-proportional.
Answers:
- Part (a) 10*sqrt(13)
- Part (b) 10*sqrt(5)
Those values are exact. They approximate to:
10*sqrt(13) = 36.0555
10*sqrt(5) = 22.3607
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Explanation:
Part (a)
If the unknown third side is the hypotenuse then we need to find the value of c when a = 20 and b = 30.
Apply the pythagorean theorem
a^2 + b^2 = c^2
20^2 + 30^2 = c^2
400 + 900 = c^2
1300 = c^2
c^2 = 1300
c = sqrt(1300)
c = sqrt(100*13)
c = sqrt(100)*sqrt(13)
c = 10*sqrt(13) .... exact length
c = 36.0555 ...... approximate length
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Part (b)
If the third side is not the hypotenuse then that must mean c = 30 is the hypotenuse as this side is larger than the 20 cm side. The hypotenuse is always the longest side.
Let a = 20 be the known leg. Let's find the other unknown leg b using the pythagorean theorem.
a^2 + b^2 = c^2
20^2 + b^2 = 30^2
400 + b^2 = 900
b^2 = 900-400
b^2 = 500
b = sqrt(500)
b = sqrt(100*5)
b = sqrt(100)*sqrt(5)
b = 10*sqrt(5) ..... exact length
b = 22.3607 ....... approximate length